Optical constants

Refractive index of H-ZLAF69 (CDGM)

H-ZLAF69: n,k 0.302–2.325 µm

Data
formula 2 + tabulated k
Range
0.302–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.302–2.325 µm
Refractive index n
1.816
Extinction coefficient k
1.04495e-08
Permittivity ε1
3.29784
Permittivity ε2
3.79525e-08
Absorption coefficient α
0.00223472 cm⁻¹
Penetration depth δ = λ/(2πk)
8.94966e+09 nm
Abbe number Vd
46.549
Chromatic dispersion dn/dλ
-0.0899447 µm⁻¹
Group index ng
1.86885
Group velocity dispersion
164.768 fs²/mm
Dispersion parameter D
-898.899 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# H-ZLAF69 (CDGM): H-ZLAF69
cdgm_h_zlaf69 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF69", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf69.range_nm)  # (302, 2325) nm
eps = cdgm_h_zlaf69.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.659414732λ2λ2−0.025605996+1.55675638λ2λ2−0.00727769577+1.25417967λ2λ2−93.1176682

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.659414732
C30.025605996
C41.55675638
C50.00727769577
C61.25417967
C793.1176682

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.12e-06 1.52e-08 -3.71e-11 6.39e-07 4.9e-10 0.192
nd
1.816000
Vd
46.549300
glass code
816466
density
value: 5010
thermal expansion
value: 6.4e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.0095
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.81e-06 K⁻¹ at 633 nm, dn/dT = 9.25e-07 K⁻¹ at 1310 nm, dn/dT = 8.53e-07 K⁻¹ at 1550 nm

References

Cite

CDGM Zemax catalog 2022-06 (obtained from http://www.cdgmgd.com); See also CDGM optical glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 431 wavelengths, the same grid as the API and the library
H-ZLAF69 (CDGM), H-ZLAF69: n and k versus wavelength
λ (µm)nk
0.3021.8992993.808840e-06
0.3035491.8979473.707501e-06
0.3051061.8966163.605643e-06
0.306671.8953063.503262e-06
0.3082431.8940163.400356e-06
0.3098241.8927453.296922e-06
0.311.8926053.285400e-06
0.3114131.8914933.069166e-06
0.313011.890262.824732e-06
0.3146151.8890462.579044e-06
0.3162291.8878492.332097e-06
0.317851.8866712.083883e-06
0.3194811.885511.834396e-06
0.321.8851441.754900e-06
0.3211191.8843651.692435e-06
0.3227661.8832381.600507e-06
0.3244211.8821271.508107e-06
0.3260851.8810321.415234e-06
0.3277571.8799531.321884e-06
0.3294381.8788891.228056e-06
0.331.8785381.196700e-06
0.3311281.877841.152381e-06
0.3328261.8768071.085647e-06
0.3345331.8757881.018571e-06
0.3362491.8747839.511508e-07
0.3379731.8737938.833849e-07
0.3397061.8728168.152714e-07
0.341.8726528.037300e-07
0.3414481.8718537.634561e-07
0.34321.8709037.147679e-07
0.344961.8699676.658299e-07
0.3467291.8690436.166410e-07
0.3485071.8681325.671998e-07
0.351.867385.256900e-07
0.3502941.8672345.202322e-07
0.3520911.8663474.869253e-07
0.3538971.8654734.534475e-07
0.3557121.864614.197981e-07
0.3575361.863763.859761e-07
0.3593691.862923.519806e-07
0.361.8626353.402900e-07
0.3612121.8620923.245546e-07
0.3630651.8612753.005130e-07
0.3649271.8604682.763482e-07
0.3667981.8596722.520595e-07
0.368681.8588872.276461e-07
0.371.8583442.105100e-07
0.370571.8581122.062641e-07
0.3724711.8573471.921169e-07
0.3743811.8565931.778972e-07
0.3763011.8558481.636046e-07
0.3782311.8551121.492387e-07
0.381.854451.360700e-07
0.3801711.8543861.353608e-07
0.382121.853671.272619e-07
0.384081.8529631.191215e-07
0.386051.8522641.109393e-07
0.388031.8515751.027151e-07
0.391.8509019.453100e-08
0.390021.8508949.449050e-08
0.392021.8502229.039704e-08
0.394031.8495598.628260e-08
0.3960511.8489048.214705e-08
0.3980821.8482577.799029e-08
0.41.8476577.406600e-08
0.4001241.8476187.389893e-08
0.4021761.8469877.113442e-08
0.4042391.8463646.835573e-08
0.4063121.8457496.556279e-08
0.4083961.8451416.275553e-08
0.410491.8445415.993387e-08
0.4125951.8439485.709774e-08
0.4147111.8433635.424706e-08
0.4168381.8427855.138177e-08
0.4189761.8422134.850177e-08
0.421.8419434.712200e-08
0.4211251.8416494.645110e-08
0.4232841.8410924.516259e-08
0.4254551.8405414.386748e-08
0.4276371.8399974.256573e-08
0.429831.8394594.125730e-08
0.4320351.8389283.994216e-08
0.434251.8384043.862028e-08
0.4364771.8378853.729161e-08
0.4387161.8373733.595614e-08
0.441.8370833.519000e-08
0.4409661.8368673.473241e-08
0.4432271.8363673.366091e-08
0.44551.8358723.258392e-08
0.4477851.8353843.150140e-08
0.4500821.8349013.041333e-08
0.452391.8344242.931968e-08
0.454711.8339532.822042e-08
0.4570421.8334872.711553e-08
0.4593861.8330262.600496e-08
0.461.8329072.571400e-08
0.4617421.8325712.514197e-08
0.464111.8321212.436431e-08
0.466491.8316762.358265e-08
0.4688831.8312362.279699e-08
0.4712871.8308022.200729e-08
0.4737041.8303722.121355e-08
0.4761341.8299472.041573e-08
0.4785751.8295281.961383e-08
0.481.8292861.914600e-08
0.481031.8291121.898128e-08
0.4834971.8287021.858669e-08
0.4859761.8282961.819007e-08
0.4884691.8278951.779142e-08
0.4909741.8274981.739073e-08
0.4934921.8271061.698798e-08
0.4960231.8267181.658317e-08
0.4985671.8263351.617628e-08
0.51.8261211.594700e-08
0.5011231.8259551.588415e-08
0.5036931.825581.574039e-08
0.5062771.8252091.559588e-08
0.5088731.8248431.545064e-08
0.5114831.824481.530465e-08
0.5141061.8241211.515791e-08
0.5167431.8237661.501042e-08
0.5193931.8234151.486217e-08
0.5220561.8230681.471316e-08
0.5247341.8227251.456339e-08
0.5274251.8223851.441285e-08
0.530131.8220491.426153e-08
0.5328491.8217171.410945e-08
0.5355811.8213881.395658e-08
0.5383281.8210631.380292e-08
0.5410891.8207411.364848e-08
0.5438641.8204231.349325e-08
0.5466531.8201081.333722e-08
0.5494571.8197961.318039e-08
0.551.8197361.315000e-08
0.5522751.8194881.298664e-08
0.5551071.8191831.278321e-08
0.5579541.8188811.257874e-08
0.5608151.8185821.237323e-08
0.5636911.8182861.216666e-08
0.5665821.8179941.195903e-08
0.5694881.8177041.175033e-08
0.5724091.8174181.154057e-08
0.5753441.8171341.132972e-08
0.5782951.8168541.111780e-08
0.5812611.8165761.090479e-08
0.5842421.8163011.069069e-08
0.5872381.8160291.047549e-08
0.590251.815761.025919e-08
0.5932771.8154931.004177e-08
0.5963191.8152299.823247e-09
0.5993781.8149689.603599e-09
0.61.8149159.558900e-09
0.6024521.814719.597934e-09
0.6055411.8144549.647128e-09
0.6086471.81429.696574e-09
0.6117681.8139499.746274e-09
0.6149061.8137019.796228e-09
0.6180591.8134559.846439e-09
0.6212291.8132119.896908e-09
0.6244151.812979.947635e-09
0.6276171.8127319.998622e-09
0.6308361.8124941.004987e-08
0.6340711.812261.010138e-08
0.6373231.8120281.015316e-08
0.6405921.8117981.020520e-08
0.6438771.8115711.025751e-08
0.6471791.8113451.031008e-08
0.651.8111551.035500e-08
0.6504981.8111221.036294e-08
0.6538341.8109011.041612e-08
0.6571871.8106821.046957e-08
0.6605581.8104651.052329e-08
0.6639451.810251.057729e-08
0.6673511.8100361.063157e-08
0.6707731.8098251.068612e-08
0.6742131.8096161.074096e-08
0.6776711.8094091.079607e-08
0.6811461.8092041.085147e-08
0.684641.8091.090715e-08
0.6881511.8087991.096312e-08
0.691681.8085991.101938e-08
0.6952271.8084011.107592e-08
0.6987931.8082051.113276e-08
0.71.8081391.115200e-08
0.7023761.808011.118986e-08
0.7059791.8078171.124724e-08
0.7095991.8076261.130492e-08
0.7132381.8074371.136289e-08
0.7168961.8072491.142116e-08
0.7205731.8070631.147973e-08
0.7242681.8068781.153860e-08
0.7279831.8066951.159777e-08
0.7317161.8065131.165724e-08
0.7354691.8063341.171702e-08
0.7392411.8061551.177711e-08
0.7430321.8059781.183750e-08
0.7468431.8058031.189820e-08
0.7506731.8056281.195922e-08
0.7545231.8054561.202055e-08
0.7583921.8052841.208219e-08
0.7622821.8051151.214415e-08
0.7661911.8049461.220642e-08
0.770121.8047791.226902e-08
0.774071.8046131.233194e-08
0.778041.8044481.239517e-08
0.782031.8042851.245874e-08
0.7860411.8041231.252263e-08
0.7900721.8039621.258685e-08
0.7941241.8038021.265139e-08
0.7981961.8036441.271627e-08
0.81.8035741.274500e-08
0.802291.8034861.278150e-08
0.8064051.803331.284709e-08
0.810541.8031751.291301e-08
0.8146971.8030211.297927e-08
0.8188751.8028691.304587e-08
0.8230751.8027171.311281e-08
0.8272961.8025661.318010e-08
0.8315391.8024171.324773e-08
0.8358031.8022681.331571e-08
0.840091.8021211.338403e-08
0.8443981.8019741.345271e-08
0.8487291.8018291.352174e-08
0.851.8017861.354200e-08
0.8530821.8016841.359106e-08
0.8574571.801541.366071e-08
0.8618541.8013981.373072e-08
0.8662741.8012561.380108e-08
0.8707171.8011151.387181e-08
0.8751821.8009751.394290e-08
0.8796711.8008361.401436e-08
0.8841821.8006971.408618e-08
0.8887171.800561.415837e-08
0.8932741.8004231.423093e-08
0.8978561.8002871.430386e-08
0.91.8002241.433800e-08
0.902461.8001521.437722e-08
0.9070881.8000171.445099e-08
0.9117411.7998841.452514e-08
0.9164161.7997511.459968e-08
0.9211161.7996191.467459e-08
0.925841.7994871.474989e-08
0.9305881.7993561.482558e-08
0.9353611.7992261.490165e-08
0.9401581.7990971.497812e-08
0.944981.7989681.505497e-08
0.9498261.798841.513222e-08
0.951.7988351.513500e-08
0.9546971.7987121.520978e-08
0.9595931.7985851.528772e-08
0.9645151.7984591.536607e-08
0.9694611.7983331.544482e-08
0.9744331.7982071.552397e-08
0.979431.7980831.560353e-08
0.9844531.7979581.568350e-08
0.9895021.7978351.576387e-08
0.9945771.7977111.584466e-08
0.9996781.7975891.592587e-08
11.7975811.593100e-08
1.00481.7974661.600755e-08
1.009961.7973451.608966e-08
1.015141.7972231.617219e-08
1.020341.7971021.625514e-08
1.025581.7969821.633851e-08
1.030841.7968621.642232e-08
1.036121.7967421.650655e-08
1.041441.7966221.659122e-08
1.046781.7965031.667632e-08
1.052151.7963851.676185e-08
1.057541.7962661.684783e-08
1.061.7962131.688700e-08
1.062971.7961481.693425e-08
1.068421.796031.702113e-08
1.07391.7959131.710844e-08
1.07941.7957961.719621e-08
1.084941.7956791.728443e-08
1.09051.7955621.737309e-08
1.09611.7954461.746222e-08
1.101721.795331.755180e-08
1.107371.7952141.764184e-08
1.113051.7950981.773234e-08
1.118761.7949821.782330e-08
1.124491.7948671.791474e-08
1.130261.7947511.800664e-08
1.136061.7946361.809901e-08
1.141881.7945211.819185e-08
1.147741.7944061.828518e-08
1.153621.7942921.837898e-08
1.159541.7941771.847326e-08
1.165491.7940621.856802e-08
1.171471.7939481.866328e-08
1.177471.7938331.875902e-08
1.183511.7937191.885525e-08
1.189581.7936041.895197e-08
1.195681.793491.904919e-08
1.21.7934091.911800e-08
1.201811.7933761.914690e-08
1.207981.7932611.924509e-08
1.214171.7931471.934377e-08
1.22041.7930321.944297e-08
1.226661.7929181.954267e-08
1.232951.7928031.964289e-08
1.239271.7926881.974361e-08
1.245631.7925741.984486e-08
1.252021.7924591.994662e-08
1.258441.7923442.004891e-08
1.264891.7922292.015172e-08
1.271381.7921132.025506e-08
1.27791.7919982.035893e-08
1.284451.7918822.046333e-08
1.291041.7917672.056826e-08
1.297661.7916512.067374e-08
1.304321.7915352.077975e-08
1.311011.7914182.088631e-08
1.317731.7913022.099342e-08
1.324491.7911852.110107e-08
1.331281.7910682.120928e-08
1.338111.790952.131804e-08
1.344971.7908322.142736e-08
1.351871.7907142.153724e-08
1.35881.7905962.164769e-08
1.365771.7904772.175870e-08
1.372771.7903582.187028e-08
1.379811.7902392.198243e-08
1.386891.7901192.209515e-08
1.3941.7899992.220846e-08
1.41.7898982.230400e-08
1.401151.7898792.232235e-08
1.408341.7897582.243682e-08
1.415561.7896372.255187e-08
1.422821.7895152.266752e-08
1.430121.7893922.278376e-08
1.437451.789272.290060e-08
1.444821.7891472.301803e-08
1.452231.7890232.313607e-08
1.459681.7888992.325472e-08
1.467171.7887742.337397e-08
1.474691.7886492.349383e-08
1.482251.7885232.361431e-08
1.489861.7883962.373541e-08
1.49751.7882692.385712e-08
1.505181.7881422.397946e-08
1.51291.7880142.410243e-08
1.520651.7878852.422603e-08
1.528451.7877552.435027e-08
1.536291.7876252.447514e-08
1.544171.7874942.460065e-08
1.552091.7873632.472680e-08
1.560051.787232.485360e-08
1.568051.7870972.498105e-08
1.576091.7869642.510916e-08
1.584181.7868292.523792e-08
1.59231.7866942.536735e-08
1.61.7865662.549000e-08
1.600471.7865582.566525e-08
1.608671.7864212.874859e-08
1.616921.7862833.184774e-08
1.625221.7861453.496279e-08
1.633551.7860053.809382e-08
1.641931.7858654.124090e-08
1.650351.7857244.440412e-08
1.658811.7855824.758356e-08
1.667321.7854395.077931e-08
1.675871.7852955.399145e-08
1.684471.785155.722007e-08
1.693111.7850046.046524e-08
1.701791.7848586.372705e-08
1.710521.784716.700559e-08
1.719291.7845617.030095e-08
1.728111.7844117.361321e-08
1.736971.784267.694245e-08
1.745881.7841088.028877e-08
1.754831.7839548.365225e-08
1.763831.78388.703298e-08
1.772881.7836459.043104e-08
1.781971.7834889.384654e-08
1.791111.783339.727955e-08
1.81.7831761.006200e-07
1.800291.7831711.010394e-07
1.809531.7830111.142428e-07
1.818811.7828491.275139e-07
1.828131.7826861.408531e-07
1.837511.7825221.542607e-07
1.846931.7823571.677371e-07
1.856411.782191.812825e-07
1.865931.7820221.948975e-07
1.87551.7818522.085822e-07
1.885111.7816822.223372e-07
1.894781.7815092.361627e-07
1.90451.7813362.500591e-07
1.914271.781162.640267e-07
1.924081.7809842.780660e-07
1.933951.7808062.921773e-07
1.943871.7806263.063610e-07
1.953841.7804453.206174e-07
1.963861.7802623.349469e-07
1.973931.7800773.493499e-07
1.984051.7798913.638268e-07
1.994231.7797033.783779e-07
21.7795973.866300e-07
2.004461.7795144.038175e-07
2.014741.7793234.434604e-07
2.025071.779134.833065e-07
2.035461.7789355.233570e-07
2.045891.7787395.636129e-07
2.056391.7785416.040753e-07
2.066931.7783416.447452e-07
2.077531.7781396.856236e-07
2.088191.7779357.267117e-07
2.09891.7777297.680105e-07
2.109661.7775218.095211e-07
2.120481.7773128.512446e-07
2.131361.77718.931821e-07
2.142291.7768869.353347e-07
2.153271.7766719.777034e-07
2.164321.7764531.020289e-06
2.175421.7762331.063094e-06
2.186571.7760111.106118e-06
2.197791.7757861.149362e-06
2.21.7757421.157900e-06
2.209061.775561.338289e-06
2.220391.7753311.563921e-06
2.231771.77511.790710e-06
2.243221.7748672.018662e-06
2.254721.7746312.247784e-06
2.266291.7743932.478080e-06
2.277911.7741522.709558e-06
2.289591.7739092.942222e-06
2.301331.7736643.176080e-06
2.313141.7734163.411137e-06
2.3251.7731653.647400e-06

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—